What are evolutionary algorithms for topology and weights evolving of ANN (TWEANN) other than NEAT?
The Wikipedia article on neuroevolution contains a list of neuroevolution techniques (e.g. NEAT). I will list below the examples that evolve both the parameters and the topology of the neural network.


Cellular encoding (1994)
GNARL (1994)
EPNet (1997)
Evolutionary acquisition of neural topologies (2007)
Interactively constrained neuro-evolution (2012)
Deus ex neural network (2012)
Spectrum-diverse unified neuroevolution architecture (2017)
Covariance matrix adaptation with hypervolume sorted adaptive grid algorithm (2017)